SOLUTION: Sally's two student loans totaled $11,500. One of her loans was for 5% simple interest and the other at 7.5%. After one year Sally owed $712.50 in interest. What was the amount of

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Sally's two student loans totaled $11,500. One of her loans was for 5% simple interest and the other at 7.5%. After one year Sally owed $712.50 in interest. What was the amount of       Log On

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Question 414427: Sally's two student loans totaled $11,500. One of her loans was for 5% simple interest and the other at 7.5%. After one year Sally owed $712.50 in interest. What was the amount of each loan?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the amount of the 5% loan = x
The amount of the 7.5% loan is 11500+-+x
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.05x+%2B+.075%2A%2811500+-+x%29+=+712.5
.05x+%2B+862.5+-+.075x+=+712.5
.025x+=+862.5+-+712.5
.025x+=+150
x+=+6000
11500+-+x+=+5500
The amount of the 5% loan is $6,000
The amount of the 7.5% loan is $5,500